Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function
1 answer:
Take first derivative of area function and set it to zero
da/dx=24 - 2x=0
Now it is set to zero add -2x to both side
24 - 2x = 0
24 = 2x
Now divide by 2 in both sides
12 = Width
Your width now is 12
Plug 12 into you equation like this:
24 (12) - 12^2= A
288 - 144 = A
144 = Area
144 feets is the maximum area using the width 24
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